{"id":"https://openalex.org/W3001829244","doi":"https://doi.org/10.1007/978-981-15-2767-8_43","title":"Resultant Gradient Flow Method for Multiple Objective Programming Based on Efficient Computing","display_name":"Resultant Gradient Flow Method for Multiple Objective Programming Based on Efficient Computing","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3001829244","doi":"https://doi.org/10.1007/978-981-15-2767-8_43","mag":"3001829244"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-15-2767-8_43","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-15-2767-8_43","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computer and Information Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/conference_contribution/Resultant_gradient_flow_method_for_multiple_objective_programming_based_on_efficient_computing/23798085","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051038295","display_name":"Feng Bao","orcid":"https://orcid.org/0000-0002-1302-8120"},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bao Feng","raw_affiliation_strings":["Nanjing University of Finance and Economics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Finance and Economics, Nanjing, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061537171","display_name":"Peixin He","orcid":null},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peixin He","raw_affiliation_strings":["Nanjing University of Finance and Economics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Finance and Economics, Nanjing, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037837260","display_name":"Yunyao Li","orcid":"https://orcid.org/0000-0002-3073-3227"},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunyao Li","raw_affiliation_strings":["Jingqi Smart Healthcare Pty Ltd., Hefei, China","Nanjing University of Finance and Economics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jingqi Smart Healthcare Pty Ltd., Hefei, China","institution_ids":[]},{"raw_affiliation_string":"Nanjing University of Finance and Economics, Nanjing, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012043765","display_name":"Junfeng Wu","orcid":"https://orcid.org/0000-0003-1263-3051"},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junfeng Wu","raw_affiliation_strings":["Nanjing University of Finance and Economics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Finance and Economics, Nanjing, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100432613","display_name":"Peng Li","orcid":"https://orcid.org/0000-0001-5026-5347"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Li","raw_affiliation_strings":["Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055106904","display_name":"Haichang Yao","orcid":"https://orcid.org/0000-0002-5751-960X"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haichang Yao","raw_affiliation_strings":["Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053206926","display_name":"Yimu Ji","orcid":"https://orcid.org/0000-0001-7019-3942"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yimu Ji","raw_affiliation_strings":["Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101481797","display_name":"Chao Min","orcid":"https://orcid.org/0000-0003-1245-8142"},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Min","raw_affiliation_strings":["Southwestern Petroleum University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southwestern Petroleum University, Chengdu, China","institution_ids":["https://openalex.org/I165745306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007682161","display_name":"Jiekui Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiekui Zhang","raw_affiliation_strings":["Jingqi Smart Healthcare Pty Ltd., Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jingqi Smart Healthcare Pty Ltd., Hefei, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089777613","display_name":"Youtao Li","orcid":null},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Youtao Li","raw_affiliation_strings":["Jingqi Smart Healthcare Pty Ltd., Hefei, China","Nanjing University of Finance and Economics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jingqi Smart Healthcare Pty Ltd., Hefei, China","institution_ids":[]},{"raw_affiliation_string":"Nanjing University of Finance and Economics, Nanjing, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058046152","display_name":"Peizhuang Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peizhuang Wang","raw_affiliation_strings":["Research Centre on Fictitious Economy and Data Science, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Centre on Fictitious Economy and Data Science, Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113542097","display_name":"Yong Shi","orcid":"https://orcid.org/0000-0001-7974-1079"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yong Shi","raw_affiliation_strings":["Research Centre on Fictitious Economy and Data Science, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Centre on Fictitious Economy and Data Science, Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081879366","display_name":"Jing He","orcid":"https://orcid.org/0000-0001-6488-1052"},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]},{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]},{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU","CN"],"is_corresponding":false,"raw_author_name":"Jing He","raw_affiliation_strings":["Nanjing University of Finance and Economics, Nanjing, China","Southwestern Petroleum University, Chengdu, China","Swinburne University of Technology, Melbourne, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Finance and Economics, Nanjing, China","institution_ids":["https://openalex.org/I137056471"]},{"raw_affiliation_string":"Southwestern Petroleum University, Chengdu, China","institution_ids":["https://openalex.org/I165745306"]},{"raw_affiliation_string":"Swinburne University of Technology, Melbourne, Australia","institution_ids":["https://openalex.org/I57093077"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029525339","display_name":"Hui Zheng","orcid":"https://orcid.org/0000-0001-5959-2483"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Hui Zheng","raw_affiliation_strings":["Swinburne University of Technology, Melbourne, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Swinburne University of Technology, Melbourne, Australia","institution_ids":["https://openalex.org/I57093077"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100725760","display_name":"Yang Wang","orcid":"https://orcid.org/0000-0001-9894-7478"},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Wang","raw_affiliation_strings":["Southwestern Petroleum University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southwestern Petroleum University, Chengdu, China","institution_ids":["https://openalex.org/I165745306"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"492","last_page":"506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7387784123420715},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6095620393753052},{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.5518758893013},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5482956171035767},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5473565459251404},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5275387763977051},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5221243500709534},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.5058479309082031},{"id":"https://openalex.org/keywords/refinery","display_name":"Refinery","score":0.4559997618198395},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.44764986634254456},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43874645233154297},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.34492728114128113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3260146975517273},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0741751492023468},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07394236326217651}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7387784123420715},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6095620393753052},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.5518758893013},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5482956171035767},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5473565459251404},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5275387763977051},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5221243500709534},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.5058479309082031},{"id":"https://openalex.org/C105168734","wikidata":"https://www.wikidata.org/wiki/Q1867977","display_name":"Refinery","level":2,"score":0.4559997618198395},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.44764986634254456},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43874645233154297},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.34492728114128113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3260146975517273},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0741751492023468},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07394236326217651},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C548081761","wikidata":"https://www.wikidata.org/wiki/Q180388","display_name":"Waste management","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-981-15-2767-8_43","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-15-2767-8_43","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computer and Information Science","raw_type":"book-chapter"},{"id":"pmh:oai:figshare.com:article/23798085","is_oa":true,"landing_page_url":"https://figshare.com/articles/conference_contribution/Resultant_gradient_flow_method_for_multiple_objective_programming_based_on_efficient_computing/23798085","pdf_url":null,"source":{"id":"https://openalex.org/S4306402621","display_name":"INDIGO (University of Illinois at Chicago)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39422238","host_organization_name":"University of Illinois Chicago","host_organization_lineage":["https://openalex.org/I39422238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference contribution"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/23798085","is_oa":true,"landing_page_url":"https://figshare.com/articles/conference_contribution/Resultant_gradient_flow_method_for_multiple_objective_programming_based_on_efficient_computing/23798085","pdf_url":null,"source":{"id":"https://openalex.org/S4306402621","display_name":"INDIGO (University of Illinois at Chicago)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39422238","host_organization_name":"University of Illinois Chicago","host_organization_lineage":["https://openalex.org/I39422238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference contribution"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W863250095","https://openalex.org/W1487465581","https://openalex.org/W1988401220","https://openalex.org/W2000215628","https://openalex.org/W2001834034","https://openalex.org/W2019565848","https://openalex.org/W2036469127","https://openalex.org/W2045399521","https://openalex.org/W2045966564","https://openalex.org/W2057624533","https://openalex.org/W2060860168","https://openalex.org/W2072537173","https://openalex.org/W2075978622","https://openalex.org/W2090364513","https://openalex.org/W2094085173","https://openalex.org/W2121739212","https://openalex.org/W2148859311","https://openalex.org/W2149019668","https://openalex.org/W2605190833","https://openalex.org/W2775806999","https://openalex.org/W2890702224","https://openalex.org/W3096523952","https://openalex.org/W4239366869","https://openalex.org/W4239992743","https://openalex.org/W6609643334","https://openalex.org/W6634018383"],"related_works":["https://openalex.org/W2884920561","https://openalex.org/W3192094705","https://openalex.org/W4214635042","https://openalex.org/W2060127983","https://openalex.org/W4287028882","https://openalex.org/W59065853","https://openalex.org/W2372778757","https://openalex.org/W2001759562","https://openalex.org/W2610542413","https://openalex.org/W2106813160"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
